/*************************************************************************
题目:统计一个数字在排序数组中出现的次数。例如输入排序数组{1,2,3,3,3,3,4,5}
和数字3,由于3在这个数组中出现了4次,因此输出4。
**************************************************************************/
/*
解题思路:
先获取第一个为k的索引,再获取第二个为k的索引,然后再用两者之差作为返回次数。
用二分法查找索引,索引时间复杂度为O(logN);
*/
#include<stdio.h>
int getFirstK(int* data, int length, int k, int start, int end)
{
if(start > end)
return -1;
int middleIndex = (start+end)/2;
int middleData = data[middleIndex];
if(middleData == k)
{
if((middleIndex>0 && data[middleIndex-1] != k)
|| middleIndex == 0)
return middleIndex;
else
end = middleIndex-1;
}
else if(middleData > k)
end = middleIndex - 1;
else
start = middleIndex + 1;
return getFirstK(data,length,k,start,end);
}
int getLastK(int* data,int length, int k, int start, int end)
{
if(start>end)
return -1;
int middleIndex = (start+end)/2;
int middleData = data[middleIndex];
if(middleData == k)
{
if((middleIndex>0 && data[middleIndex+1] != k)
|| middleIndex == length-1)
return middleIndex;
else
start = middleIndex + 1;
}
else if(middleData > k)
end = middleData - 1;
else
start = middleData + 1;
return getLastK(data,length,k,start,end);
}
int getNumberOfK(int* data, int length, int k)
{
if(data == NULL || length<=0)
return 0;
int firstIndex = getFirstK(data,length,k,0,length-1);
int lastIndex = getLastK(data,length,k,0,length-1);
int number = 0;
if(firstIndex > -1 && lastIndex > -1)
number = lastIndex-firstIndex+1;
return number;
}
void test()
{
const int length = 8;
int arr[length] = {1,2,3,3,3,3,4,5};
printf("%d\n",getNumberOfK(arr,length,3));
}
int main()
{
test();
return 0;
}
==参考剑指offer
数字在排序数组中出现的次数
最新推荐文章于 2025-06-18 08:55:40 发布